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Currently displaying 1 – 3 of 3

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On certain closed subgroups of $SL (2, ℤ_{p} [[X]])$ .

Lozano-Robledo, Álvaro — 2005

Revista Colombiana de Matemáticas

On the surjectivity of Galois representations attached to elliptic curves over number fields

Álvaro Lozano-Robledo — 2005

Acta Arithmetica

Bernoulli numbers, Hurwitz numbers, p-adic L-functions and Kummer's criterion.

Alvaro Lozano Robledo — 2007

RACSAM

Let K = Q(ζ) and let h be its class number. Kummer showed that p divides h if and only if p divides the numerator of some Bernoulli number. In this expository note we discuss the generalizations of this type of criterion to totally real fields and quadratic imaginary fields.

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